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Finding the Fourth Proportional to 21,206.69, 31,805.18 and 9,523.25

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Solution

The fourth proportional to 21,206.69, 31,805.18 and 9,523.25 is: 14,282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.69 : 31,805.18 = 9,523.25 : x
  2. Step 2: Convert to fraction form
    21,206.69/31,805.18 = 9,523.25/x
  3. Step 3: Cross multiply
    21,206.69x = 31,805.18 × 9,523.25
  4. Step 4: Simplify right side
    21,206.69x = 302,888,632.82
  5. Step 5: Solve for x
    x = 302,888,632.82/21,206.69
  6. Step 6: Final answer
    x = 14,282.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.